Core Curriculum
A.N.1: Identify and apply the properties of real numbers (closure, commutative, associative, distributive, identity, inverse) Note: Students do not need to identify groups and fields, but students should be engaged in the ideas.
Equivalent Algebraic Expressions I
Equivalent Algebraic Expressions II
Square Roots
A.N.2: Simplify radical terms (no variable in the radicand)
Operations with Radical Expressions
Simplifying Radical Expressions
A.N.3: Perform the four arithmetic operations using like and unlike radical terms and express the result in simplest form
Operations with Radical Expressions
A.N.4: Understand and use scientific notation to compute products and quotients of numbers
A.N.5: Solve algebraic problems arising from situations that involve fractions, decimals, percents (decrease/increase and discount), and proportionality/direct variation
Beam to Moon (Ratios and Proportions)
Comparing and Ordering Decimals
Determining a Spring Constant
Direct and Inverse Variation
Estimating Population Size
Geometric Probability
Part-to-part and Part-to-whole Ratios
Percent of Change
Real-Time Histogram
A.N.6: Evaluate expressions involving factorial(s), absolute value(s), and exponential expression(s)
Absolute Value Equations and Inequalities
Absolute Value with Linear Functions
A.N.7: Determine the number of possible events, using counting techniques or the Fundamental Principle of Counting
A.N.8: Determine the number of possible arrangements (permutations) of a list of items
A.A.1: Translate a quantitative verbal phrase into an algebraic expression
Solving Equations on the Number Line
Using Algebraic Equations
Using Algebraic Expressions
A.A.2: Write a verbal expression that matches a given mathematical expression
Using Algebraic Equations
Using Algebraic Expressions
A.A.3: Distinguish the difference between an algebraic expression and an algebraic equation
Compound Interest
Solving Equations on the Number Line
Using Algebraic Equations
A.A.4: Translate verbal sentences into mathematical equations or inequalities
Linear Functions
Solving Equations on the Number Line
Using Algebraic Equations
A.A.5: Write algebraic equations or inequalities that represent a situation
Linear Inequalities in Two Variables
Solving Equations on the Number Line
Using Algebraic Equations
A.A.6: Analyze and solve verbal problems whose solution requires solving a linear equation in one variable or linear inequality in one variable
Compound Inequalities
Linear Inequalities in Two Variables
Solving Equations by Graphing Each Side
Solving Two-Step Equations
Systems of Linear Inequalities (Slope-intercept form)
A.A.7: Analyze and solve verbal problems whose solution requires solving systems of linear equations in two variables
Solving Linear Systems (Matrices and Special Solutions)
Solving Linear Systems (Standard Form)
A.A.10: Solve systems of two linear equations in two variables algebraically (See A.G.7)
Solving Equations by Graphing Each Side
Solving Linear Systems (Matrices and Special Solutions)
Solving Linear Systems (Slope-Intercept Form)
Solving Linear Systems (Standard Form)
A.A.12: Multiply and divide monomial expressions with a common base, using the properties of exponents Note: Use integral exponents only
Dividing Exponential Expressions
Multiplying Exponential Expressions
A.A.13: Add, subtract, and multiply monomials and polynomials
Addition and Subtraction of Functions
Addition of Polynomials
Modeling the Factorization of x2+bx+c
Multiplying Exponential Expressions
A.A.14: Divide a polynomial by a monomial or binomial, where the quotient has no remainder
Dividing Polynomials Using Synthetic Division
A.A.19: Identify and factor the difference of two perfect squares
A.A.20: Factor algebraic expressions completely, including trinomials with a lead coefficient of one (after factoring a GCF)
Dividing Polynomials Using Synthetic Division
Factoring Special Products
Modeling the Factorization of ax2+bx+c
Modeling the Factorization of x2+bx+c
A.A.21: Determine whether a given value is a solution to a given linear equation in one variable or linear inequality in one variable
Modeling and Solving Two-Step Equations
A.A.22: Solve all types of linear equations in one variable
Modeling One-Step Equations
Modeling and Solving Two-Step Equations
Solving Algebraic Equations II
Solving Equations by Graphing Each Side
Solving Two-Step Equations
Standard Form of a Line
A.A.23: Solve literal equations for a given variable
Area of Triangles
Solving Formulas for any Variable
A.A.24: Solve linear inequalities in one variable
Compound Inequalities
Exploring Linear Inequalities in One Variable
Linear Inequalities in Two Variables
Solving Linear Inequalities in One Variable
Systems of Linear Inequalities (Slope-intercept form)
A.A.28: Understand the difference and connection between roots of a quadratic equation and factors of a quadratic expression
Modeling the Factorization of x2+bx+c
Quadratics in Factored Form
A.A.31: Find the intersection of sets (no more than three sets) and/or union of sets (no more than three sets)
A.A.33: Determine the slope of a line, given the coordinates of two points on the line
Cat and Mouse (Modeling with Linear Systems)
Point-Slope Form of a Line
Slope
Slope-Intercept Form of a Line
A.A.34: Write the equation of a line, given its slope and the coordinates of a point on the line
Point-Slope Form of a Line
Slope-Intercept Form of a Line
Standard Form of a Line
A.A.35: Write the equation of a line, given the coordinates of two points on the line
Point-Slope Form of a Line
Points, Lines, and Equations
Slope
Slope-Intercept Form of a Line
Standard Form of a Line
A.A.36: Write the equation of a line parallel to the x- or y-axis
Point-Slope Form of a Line
Slope-Intercept Form of a Line
Standard Form of a Line
A.A.37: Determine the slope of a line, given its equation in any form
Point-Slope Form of a Line
Slope
Slope-Intercept Form of a Line
Standard Form of a Line
A.A.39: Determine whether a given point is on a line, given the equation of the line
Point-Slope Form of a Line
Points, Lines, and Equations
Slope-Intercept Form of a Line
Standard Form of a Line
A.A.40: Determine whether a given point is in the solution set of a system of linear inequalities
Systems of Linear Inequalities (Slope-intercept form)
A.A.41: Determine the vertex and axis of symmetry of a parabola, given its equation (See A.G.10)
A.A.42: Find the sine, cosine, and tangent ratios of an angle of a right triangle, given the lengths of the sides
Cosine Function
Sine Function
Sine, Cosine, and Tangent Ratios
Tangent Function
A.A.43: Determine the measure of an angle of a right triangle, given the length of any two sides of the triangle
Sine, Cosine, and Tangent Ratios
A.A.44: Find the measure of a side of a right triangle, given an acute angle and the length of another side
Sine, Cosine, and Tangent Ratios
A.A.45: Determine the measure of a third side of a right triangle using the Pythagorean theorem, given the lengths of any two sides
Cosine Function
Pythagorean Theorem
Pythagorean Theorem with a Geoboard
Sine Function
Tangent Function
A.G.1: Find the area and/or perimeter of figures composed of polygons and circles or sectors of a circle Note: Figures may include triangles, rectangles, squares, parallelograms, rhombuses, trapezoids, circles, semi-circles, quarter-circles, and regular polygons (perimeter only).
A.G.2: Use formulas to calculate volume and surface area of rectangular solids and cylinders
Prisms and Cylinders
Pyramids and Cones
Surface and Lateral Areas of Prisms and Cylinders
A.G.3: Determine when a relation is a function, by examining ordered pairs and inspecting graphs of relations
Introduction to Functions
Linear Functions
Points, Lines, and Equations
A.G.4: Identify and graph linear, quadratic (parabolic), absolute value, and exponential functions
Absolute Value with Linear Functions
Addition and Subtraction of Functions
Exponential Functions
Linear Functions
Logarithmic Functions
Translating and Scaling Functions
A.G.5: Investigate and generalize how changing the coefficients of a function affects its graph
Absolute Value with Linear Functions
Introduction to Exponential Functions
Rational Functions
Translating and Scaling Functions
Translating and Scaling Sine and Cosine Functions
Translations
Zap It! Game
A.G.6: Graph linear inequalities
Exploring Linear Inequalities in One Variable
Linear Inequalities in Two Variables
Solving Linear Inequalities in One Variable
Systems of Linear Inequalities (Slope-intercept form)
A.G.7: Graph and solve systems of linear equations and inequalities with rational coefficients in two variables (See A.A.10)
Solving Linear Systems (Standard Form)
A.G.9: Solve systems of linear and quadratic equations graphically Note: Only use systems of linear and quadratic equations that lead to solutions whose coordinates are integers.
Cat and Mouse (Modeling with Linear Systems)
Solving Equations by Graphing Each Side
Solving Linear Systems (Matrices and Special Solutions)
Solving Linear Systems (Slope-Intercept Form)
Solving Linear Systems (Standard Form)
A.M.1: Calculate rates using appropriate units (e.g., rate of a space ship versus the rate of a snail)
A.M.2: Solve problems involving conversions within measurement systems, given the relationship between the units
A.S.4: Compare and contrast the appropriateness of different measures of central tendency for a given data set
Box-and-Whisker Plots
Describing Data Using Statistics
Mean, Median, and Mode
Reaction Time 1 (Graphs and Statistics)
A.S.5: Construct a histogram, cumulative frequency histogram, and a box-and-whisker plot, given a set of data
Box-and-Whisker Plots
Histograms
Real-Time Histogram
Sight vs. Sound Reactions
A.S.6: Understand how the five statistical summary (minimum, maximum, and the three quartiles) is used to construct a box-and-whisker plot
A.S.7: Create a scatter plot of bivariate data
Correlation
Least-Squares Best Fit Lines
Solving Using Trend Lines
Trends in Scatter Plots
A.S.9: Analyze and interpret a frequency distribution table or histogram, a cumulative frequency distribution table or histogram, or a box-and-whisker plot
Box-and-Whisker Plots
Histograms
Polling: City
Populations and Samples
Real-Time Histogram
Sight vs. Sound Reactions
A.S.10: Evaluate published reports and graphs that are based on data by considering: experimental design, appropriateness of the data analysis, and the soundness of the conclusions
Polling: City
Polling: Neighborhood
Populations and Samples
A.S.11: Find the percentile rank of an item in a data set and identify the point values for first, second, and third quartiles
A.S.12: Identify the relationship between the independent and dependent variables from a scatter plot (positive, negative, or none)
A.S.13: Understand the difference between correlation and causation
A.S.14: Identify variables that might have a correlation but not a causal relationship
A.S.17: Use a reasonable line of best fit to make a prediction involving interpolation or extrapolation
A.S.18: Know the definition of conditional probability and use it to solve for probabilities in finite sample spaces
Independent and Dependent Events
A.S.20: Calculate the probability of an event and its complement
Binomial Probabilities
Geometric Probability
Independent and Dependent Events
Theoretical and Experimental Probability
A.S.21: Determine empirical probabilities based on specific sample data
Binomial Probabilities
Geometric Probability
Independent and Dependent Events
Probability Simulations
Theoretical and Experimental Probability
A.S.22: Determine, based on calculated probability of a set of events, if:
A.S.22.a: some or all are equally likely to occur
Probability Simulations
Theoretical and Experimental Probability
A.S.23: Calculate the probability of:
A.S.23.a: a series of independent events
Binomial Probabilities
Independent and Dependent Events
A.S.23.b: a series of dependent events
Independent and Dependent Events
A.S.23.d: two events that are not mutually exclusive
Binomial Probabilities
Geometric Probability
Independent and Dependent Events
Theoretical and Experimental Probability
Correlation last revised: 5/21/2018